Work and Power Calculator

In physics, work measures energy transferred when a force causes displacement. When a constant force acts in the same direction as motion, work is W = Fd. Force is measured in newtons, displacement in metres, and the resulting work in joules. One joule equals one newton-metre. This calculator's work mode assumes the force and movement are parallel; a force at an angle requires its component along the displacement. Power describes how quickly work is performed or energy is transferred. Average power is P = W/t, with work in joules and elapsed time in seconds. The SI unit is the watt, equivalent to one joule per second. Two machines can perform the same amount of work while producing different average power if one completes the task sooner. Instantaneous power can vary throughout an event, so the simple quotient represents an average over the entered interval. Kinetic energy is the energy associated with motion. For ordinary nonrelativistic speeds it is KE = ½mv². Because velocity is squared, doubling speed quadruples kinetic energy, while doubling mass only doubles it. Gravitational potential energy near Earth's surface is PE = mgh. This calculator uses standard gravity, 9.80665 m/s², and treats height as the vertical change relative to a chosen reference level. Work and energy share the joule because work is a method of transferring energy. The work-energy theorem states that net work on an object equals its change in kinetic energy. In real systems, some input work may become heat, sound, deformation, or rotational energy rather than the particular energy form being calculated. Friction and efficiency must be included separately when they matter. These formulas are foundational approximations for mechanics problems, equipment comparisons, and classroom checks. Use consistent SI units and identify whether values are averages, magnitudes, or vector components. For changing forces, changing power, relativistic motion, or large changes in gravitational field strength, a more detailed model or integration is required.